Turn Off Tree Reflections For Glass And Gloss BSDF?
Let me just propose another solution:

1) Switch to your World lighting
This will use your environment texture for lighting.
If there's no HDRi set, no image texture will be reflected.
You're done.

No texture is reflected, only homogenous light


2) Enable your scene lights
This will give you a better preview of your render.
You can combine it with your World lighting.  

No image texture is reflected, plus your scene lights are enabled.




Why not just turn lighting strength to zero.

It makes all materials look the same (black).
While this works for getting rid of texture reflections, it is not often desired.
Simply switching to you World settings is usually more convenient.

Scene looks with lighting strength set to zero.